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Finding the Third Proportional to 91,726 and 131,027

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Solution

The third proportional to 91,726 and 131,027 is: 187,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,726 : 131,027 = 131,027 : x
  2. Step 2: Convert to fraction form
    91,726/131,027 = 131,027/x
  3. Step 3: Cross multiply
    91,726x = 131,027 × 131,027
  4. Step 4: Simplify right side
    91,726x = 17,168,074,729
  5. Step 5: Solve for x
    x = 17,168,074,729/91,726
  6. Step 6: Final answer
    x = 187,166.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.